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103040400 = 24352175051
BaseRepresentation
bin1100010010001…
…00010110010000
321011212222212010
412021010112100
5202334243100
614120302520
72360554221
oct611042620
9234788763
10103040400
1153188861
122a611a40
1318469668
14d983248
1590a5750
hex6244590

103040400 has 120 divisors (see below), whose sum is σ = 349557984. Its totient is φ = 25856000.

The previous prime is 103040381. The next prime is 103040419. The reversal of 103040400 is 4040301.

It is an interprime number because it is at equal distance from previous prime (103040381) and next prime (103040419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17875 + ... + 22925.

Almost surely, 2103040400 is an apocalyptic number.

103040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174778992).

103040400 is an abundant number, since it is smaller than the sum of its proper divisors (246517584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103040400 is a wasteful number, since it uses less digits than its factorization.

103040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103040400 is about 10150.8817351007. The cubic root of 103040400 is about 468.8160937914.

Adding to 103040400 its reverse (4040301), we get a palindrome (107080701).

Subtracting from 103040400 its reverse (4040301), we obtain a palindrome (99000099).

The spelling of 103040400 in words is "one hundred three million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5051 5100 6800 10102 10200 15153 20204 20400 25255 30306 40408 50510 60612 75765 80816 85867 101020 121224 126275 151530 171734 202040 242448 252550 257601 303060 343468 378825 404080 429335 505100 515202 606120 686936 757650 858670 1010200 1030404 1212240 1288005 1373872 1515300 1717340 2020400 2060808 2146675 2576010 3030600 3434680 4121616 4293350 5152020 6061200 6440025 6869360 8586700 10304040 12880050 17173400 20608080 25760100 34346800 51520200 103040400